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Which multiplication operators are surjective isometries? - MaRDI portal

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Which multiplication operators are surjective isometries?

From MaRDI portal
Publication:6311911

DOI10.1016/J.JMAA.2019.07.058arXiv1901.00310MaRDI QIDQ6311911

Author name not available (Why is that?)

Publication date: 2 January 2019

Abstract: Let mathbfF be a Banach space of continuous functions over a connected locally compact space X. We present several sufficient conditions on mathbfF guaranteeing that the only multiplication operators on mathbfF that are surjective isometries are scalar multiples of the identity. The conditions are given via the properties of the inclusion operator from mathbfF into mathcalCleft(Xight), as well as in terms of geometry of mathbfF. An important tool in our investigation is the notion of Birkhoff Orthogonality.





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